Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?

The number of trades will Ian  and Jason each have an equal number of cards is 12 trades

Let's us assume the x' be the number of trades they will do.

20 + x = 44 - x

2x = 24

x = 12 trades

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12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

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